Pentagon G was dilated from the origin by a scale factor of one half to create Pentagon G′. Which statement explains why the pentagons are similar? Dilations preserve side length; therefore, the corresponding sides of pentagons G and G′ are congruent.
Dilations preserve betweenness of points; therefore, the corresponding sides of pentagons G and G′ are proportional.
Dilations preserve orientation; therefore, the corresponding angles of pentagons G and G′ are congruent.
Dilations preserve collinearity; therefore, the corresponding angles of pentagons G and G′ are congruent.

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.